A note on the numerical and N-soliton solutions of the Benjamin-Ono evolution equation

T. Miloh, M. Prestin, L. Shtilman, M. P. Tulin

Research output: Contribution to journalArticlepeer-review

Abstract

An efficient pseudospectral method is applied for the numerical solution of the weakly non-linear Benjamin-Ono equation for arbitrary initial conditions. The general solution at large time is shown to evolve into an ordered pattern of Lorentzian solitons and a dispersive train moving in opposite directions. A practical new relationship for estimating the number of solitons is proposed in terms of the soliton-number (representing the ratio between nonlinearity and dispersion effects) and the shape of the initial disturbance.

Original languageEnglish
Pages (from-to)1-10
Number of pages10
JournalWave Motion
Volume17
Issue number1
DOIs
StatePublished - Feb 1993

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